The main challenge here lies in devising a mathematically acceptable proof of this impossibility, which is where the foundations for what we today know as graph theory.

Books Received Published: 22 March 1906 Lectures on the Theory of Functions of Real Variables Nature 73, 483 (1906) Cite this article ...

Graph theory, a nearly 300-year-old discipline considered an element of discrete mathematics, is used to model many types of relationships and processes in physical, biological, social and information ...

Graph theory isn’t enough. The mathematical language for talking about connections, which usually depends on networks — vertices (dots) and edges (lines connecting them) — has been an invaluable way ...

Graph Theory, the bedrock of network science, has found extensive application in dissecting the attributes of complex networks, including those of the brain. It lays out a framework for examining ...